<s>
In	O
mathematics	O
,	O
a	O
semi-Hilbert	B-Algorithm
space	I-Algorithm
is	O
a	O
generalization	O
of	O
a	O
Hilbert	O
space	O
in	O
functional	B-Application
analysis	I-Application
,	O
in	O
which	O
,	O
roughly	O
speaking	O
,	O
the	O
inner	O
product	O
is	O
required	O
only	O
to	O
be	O
positive	O
semi-definite	O
rather	O
than	O
positive	O
definite	O
,	O
so	O
that	O
it	O
gives	O
rise	O
to	O
a	O
seminorm	O
rather	O
than	O
a	O
vector	O
space	O
norm	O
.	O
</s>
